MUODILAI DIFFERENDSIALII KhUDPAYVAST, muodilaest, ki bo muodilai ba khudash hamrohshuda (payvasta) halhoi yakkhela dorad (nigared Muodilahoi differensialii hamrohshuda). Muodilai differensialii khudpayvasti oddii tartibashon juft (2m) va tartibashon toq (2t — 1) muvofiqan shaklhoi zerinro dorand:
ki dar on Ai funksiyahoi kh meboshand. Mafhumi Muodilai differensialii khudpayvast dar nazariyai muodilahoi differensialii oddi va muodilahoi differensialii hosilahoyash khususi roli muhim mebozad. Hangomi ijro shudani baze sharthoi kanori tarafi chapi Muodilai differensialii khudpayvast operatori khudpayvastro muayyan mekunad. Dar amaliya beshtar Muodilai differensialii khudpayvasti tartibi duyum istifoda meshavand.